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Finding the Fourth Proportional to 1,086.84, 1,629.41 and 502.22

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Solution

The fourth proportional to 1,086.84, 1,629.41 and 502.22 is: 752.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.84 : 1,629.41 = 502.22 : x
  2. Step 2: Convert to fraction form
    1,086.84/1,629.41 = 502.22/x
  3. Step 3: Cross multiply
    1,086.84x = 1,629.41 × 502.22
  4. Step 4: Simplify right side
    1,086.84x = 818,311.63
  5. Step 5: Solve for x
    x = 818,311.63/1,086.84
  6. Step 6: Final answer
    x = 752.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.